Polynomial Interior Point Algorithms for General Linear Complementarity Problems
نویسندگان
چکیده
Linear Complementarity Problems (LCPs) belong to the class of NP-complete problems. Therefore we can not expect a polynomial time solution method for LCPs without requiring some special property of the coefficient matrix. Following our recently published ideas we generalize affine scaling and predictor-corrector interior point algorithms to solve LCPs with general matrices in EP-sense, namely, our generalized interior point algorithms either solve the problems with rational coefficient matrix in polynomial time or give a polynomial size certificate that our matrix does not belong to the set of P∗(κ̃) matrices, with arbitrary large, but apriori fixed, rational, positive κ̃.
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ورودعنوان ژورنال:
- Algorithmic Operations Research
دوره 5 شماره
صفحات -
تاریخ انتشار 2010